Question

A scientist believes that the frequency of cricket chirping is a good predictor of the ambienttemperature. A random sample produced the following data where x is the number of cricket chirps inone minute and y is the ambient temperature in Fahrenheit.

x	y
128	70
227	93
188	84
150	76
210	89
185	83
137	72
171	80

1. (a)Find an equation of the least squares regression line. Round the slope and y-intercept value to two decimal places. Describe method for obtaining results.
2. (b)Based on the equation from part (a), what is the predicted temperature when a cricket chirps 170times in one minute? Show all work and justify your answer.
3. (c)Based on the equation from part (a), what is the predicted temperature when a cricket chirps 320times in one minute? Show all work and justify your answer.
4. (d)Which predicted temperature that you calculated for (b) and (c) do you think is closer to the true temperature and why?

Answer 1

a)

b)

Given regression line is y = 62.291 +0.115 x

given that x = 170

y = 62.291 +0.115 *170

= 81.840

c)

Given regression line is y = 62.291 +0.115 x

given that x = 320

y = 62.291 +0.115 *320

= 99.09

d)

I think ( b) is closer to the true temperature m because of the true value